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math.CO2025
Minimal Graph Embeddings via Point Deletions in Steiner triple systems
Melissa A. Huggan, Svenja Huntemann, Brett Stevens
The game Nofil is a two-player combinatorial game in which players take turns marking points of a design such that the set of marked points does not contain a block. Equivalently,…
math.CO2025
Existence of 3 anti-cocircular truncated Möbius planes and constructions of strength-4 covering arrays
Kianoosh Shokri, Lucia Moura, Brett Stevens
Two projective (affine) planes with the same point sets are orthogoval if the common intersection of any two lines, one from each, has size at most two. The existence of a pair of…
math.CO2023
The -Analogue of Zero Forcing for Certain Families of Graphs
Shaun Fallat, Neha Joshi, Roghayeh Maleki +6
Zero forcing is a combinatorial game played on a graph with the ultimate goal of changing the colour of all the vertices at minimal cost. Originally this game was conceived as a on…